Multi Valued Variational Inequalities And Inclusions

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Multi-Valued Variational Inequalities and Inclusions

Author : Siegfried Carl
Publisher : Springer Nature
ISBN 13 : 3030651657
Total Pages : 596 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Multi-Valued Variational Inequalities and Inclusions by : Siegfried Carl

Download or read book Multi-Valued Variational Inequalities and Inclusions written by Siegfried Carl and published by Springer Nature. This book was released on 2021-03-02 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.

Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Author : Mikhail Z. Zgurovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3642285120
Total Pages : 368 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Evolution Inclusions and Variation Inequalities for Earth Data Processing III by : Mikhail Z. Zgurovsky

Download or read book Evolution Inclusions and Variation Inequalities for Earth Data Processing III written by Mikhail Z. Zgurovsky and published by Springer Science & Business Media. This book was released on 2012-05-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.

Evolution Inclusions and Variation Inequalities for Earth Data Processing II

Author : Mikhail Z. Zgurovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3642138780
Total Pages : 274 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Evolution Inclusions and Variation Inequalities for Earth Data Processing II by : Mikhail Z. Zgurovsky

Download or read book Evolution Inclusions and Variation Inequalities for Earth Data Processing II written by Mikhail Z. Zgurovsky and published by Springer Science & Business Media. This book was released on 2010-10-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of mathematical equations. These new mathematical methods can be applied to a broad spectrum of problems. Examples of these are phase changes, diffusion of electromagnetic, acoustic, vibro-, hydro- and seismoacoustic waves, or quantum mechanical effects. This is the second of two volumes dealing with the subject.

Equilibrium Problems and Applications

Author : Gábor Kassay
Publisher : Academic Press
ISBN 13 : 0128110309
Total Pages : 440 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Equilibrium Problems and Applications by : Gábor Kassay

Download or read book Equilibrium Problems and Applications written by Gábor Kassay and published by Academic Press. This book was released on 2018-10-09 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis. A rigorous mathematical analysis of Nash equilibrium type problems, which play a central role to describe network traffic models, competition games or problems arising in experimental economics Develops generic models relevant to mathematical economics and quantitative modeling of game theory, aiding economists to understand vital material without having to wade through complex proofs Reveals a number of surprising interactions among various equilibria topics, enabling readers to identify a common and unified approach to analysing problem sets Illustrates the deep features shared by several types of nonlinear problems, encouraging readers to develop further this unifying approach from other viewpoints into economic models in turn

Advances in Nonlinear Variational Inequalities

Author :
Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Nonlinear Variational Inequalities by :

Download or read book Advances in Nonlinear Variational Inequalities written by and published by . This book was released on 2006 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rough Sets and Knowledge Technology

Author : James F. Peters
Publisher : Springer
ISBN 13 : 3540362991
Total Pages : 810 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Rough Sets and Knowledge Technology by : James F. Peters

Download or read book Rough Sets and Knowledge Technology written by James F. Peters and published by Springer. This book was released on 2006-09-27 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Conference on Rough Sets and Knowledge Technology, RSKT 2006, held in Chongqing, China in July 2006. The volume presents 43 revised full papers and 58 revised short papers, together with 15 commemorative and invited papers. Topics include rough computing, evolutionary computing, fuzzy sets, granular computing, neural computing, machine learning and KDD, logics and reasoning, multiagent systems and Web intelligence, and more.

Fixed Point Theory and Applications, Volume 6

Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 : 9781594548734
Total Pages : 222 pages
Book Rating : 4.5/5 (487 download)

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Book Synopsis Fixed Point Theory and Applications, Volume 6 by : Yeol Je Cho

Download or read book Fixed Point Theory and Applications, Volume 6 written by Yeol Je Cho and published by Nova Publishers. This book was released on 2007 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory & Applications

Qualitative and Quantitative Analysis of Nonlinear Systems

Author : Michael Z. Zgurovsky
Publisher : Springer
ISBN 13 : 3319598406
Total Pages : 240 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Qualitative and Quantitative Analysis of Nonlinear Systems by : Michael Z. Zgurovsky

Download or read book Qualitative and Quantitative Analysis of Nonlinear Systems written by Michael Z. Zgurovsky and published by Springer. This book was released on 2017-07-11 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications

Author : Valeri Obukhovskii
Publisher : World Scientific
ISBN 13 : 9811220239
Total Pages : 221 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications by : Valeri Obukhovskii

Download or read book Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications written by Valeri Obukhovskii and published by World Scientific. This book was released on 2020-04-04 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at 'beginners', starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.

Finite Element Method for Hemivariational Inequalities

Author : J. Haslinger
Publisher : Springer Science & Business Media
ISBN 13 : 1475752334
Total Pages : 278 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Finite Element Method for Hemivariational Inequalities by : J. Haslinger

Download or read book Finite Element Method for Hemivariational Inequalities written by J. Haslinger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1208 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Nonlinear Dynamics and Synchronization

Author : Kyandoghere Kyamakya
Publisher : Springer
ISBN 13 : 3319589962
Total Pages : 367 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Recent Advances in Nonlinear Dynamics and Synchronization by : Kyandoghere Kyamakya

Download or read book Recent Advances in Nonlinear Dynamics and Synchronization written by Kyandoghere Kyamakya and published by Springer. This book was released on 2017-07-25 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on modelling and simulation, control and optimization, signal processing, and forecasting in selected nonlinear dynamical systems, presenting both literature reviews and novel concepts. It develops analytical or numerical approaches, which are simple to use, robust, stable, flexible and universally applicable to the analysis of complex nonlinear dynamical systems. As such it addresses key challenges are addressed, e.g. efficient handling of time-varying dynamics, efficient design, faster numerical computations, robustness, stability and convergence of algorithms. The book provides a series of contributions discussing either the design or analysis of complex systems in sciences and engineering, and the concepts developed involve nonlinear dynamics, synchronization, optimization, machine learning, and forecasting. Both theoretical and practical aspects of diverse areas are investigated, specifically neurocomputing, transportation engineering, theoretical electrical engineering, signal processing, communications engineering, and computational intelligence. It is a valuable resource for students and researchers interested in nonlinear dynamics and synchronization with applications in selected areas.

Convergence Analysis of Proximal-like Methods for Variational Inequalities and Fixed Point Problems

Author : Nils Langenberg
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832528903
Total Pages : 255 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Convergence Analysis of Proximal-like Methods for Variational Inequalities and Fixed Point Problems by : Nils Langenberg

Download or read book Convergence Analysis of Proximal-like Methods for Variational Inequalities and Fixed Point Problems written by Nils Langenberg and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several regularization methods for variational inequalities and fixed point problems are studied. Known convergence results especially require some kind of monotonicity of the problem data as well as, especially for Bregman-function-based algorithms, some additional assumption known as the cutting plane property. Unfortunately, these assumptions may be considered as rather restrictive e.g. in the framework of Nash equilibrium problems. This motivates the development of convergence results under weaker hypotheses which constitute the major subject of the present book. Studied methods include the Bregman-function-based Proximal Point Algorithm (BPPA), Cohen's Auxiliary Problem Principle and an extragradient algorithm.Moreover, this work also contains the first numerical comparison of stopping criteria in the framework of the BPPA. Although such conditions are the subject of theoretical investigations frequently, their numerical effectiveness and a deducible preference were still unknown. This gives rise to the necessity of the presented numerical experiments.

Nonlinear Inclusions and Hemivariational Inequalities

Author : Stanisław Migórski
Publisher : Springer Science & Business Media
ISBN 13 : 146144232X
Total Pages : 288 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Inclusions and Hemivariational Inequalities by : Stanisław Migórski

Download or read book Nonlinear Inclusions and Hemivariational Inequalities written by Stanisław Migórski and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.

Hemivariational Inequalities

Author : Panagiotis D. Panagiotopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 3642516777
Total Pages : 453 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Hemivariational Inequalities by : Panagiotis D. Panagiotopoulos

Download or read book Hemivariational Inequalities written by Panagiotis D. Panagiotopoulos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities.

Numerical Analysis of Variational Inequalities

Author : R. Trémolières
Publisher : Elsevier
ISBN 13 : 9780080875293
Total Pages : 775 pages
Book Rating : 4.8/5 (752 download)

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Book Synopsis Numerical Analysis of Variational Inequalities by : R. Trémolières

Download or read book Numerical Analysis of Variational Inequalities written by R. Trémolières and published by Elsevier. This book was released on 2011-08-18 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Analysis of Variational Inequalities

Nonlinear Analysis and Control of Physical Processes and Fields

Author : Mikhail Z. Zgurovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3642187706
Total Pages : 508 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Nonlinear Analysis and Control of Physical Processes and Fields by : Mikhail Z. Zgurovsky

Download or read book Nonlinear Analysis and Control of Physical Processes and Fields written by Mikhail Z. Zgurovsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.